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14822072676 = 22321724219073
BaseRepresentation
bin11011100110111011…
…01110000101100100
31102020222100022021200
431303131232011210
5220323422311201
610450440242500
71033206352605
oct156335560544
942228308250
1014822072676
116316745644
122a57a70430
131522a1c708
14a08749dac
155bb3ba386
hex37376e164

14822072676 has 36 divisors (see below), whose sum is σ = 39670843212. Its totient is φ = 4650061824.

The previous prime is 14822072651. The next prime is 14822072719. The reversal of 14822072676 is 67627022841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12193459776 + 2628612900 = 110424^2 + 51270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12108925 + ... + 12110148.

It is an arithmetic number, because the mean of its divisors is an integer number (1101967867).

Almost surely, 214822072676 is an apocalyptic number.

It is an amenable number.

14822072676 is an abundant number, since it is smaller than the sum of its proper divisors (24848770536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14822072676 is a wasteful number, since it uses less digits than its factorization.

14822072676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24219100 (or 24219095 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 14822072676 in words is "fourteen billion, eight hundred twenty-two million, seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 24219073 48438146 72657219 96876292 145314438 217971657 290628876 411724241 435943314 823448482 871886628 1235172723 1646896964 2470345446 3705518169 4940690892 7411036338 14822072676